4 years ago

SOMEONE PLEASE HELP ASAP!! THANK YOU SO MUCH!!!

Mathematics

1 answer:

MatroZZZ [7]4 years ago

7 0

Here’s the answer and how i worked it out step by step. hope this helps :)

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The following data were given in a study of a group of 1000 subscribers to a certain magazine. In reference to job, marital stat

kozerog [31]

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$(a)$ $P(M\ or\ P\ or\ C) = 1.307$

(b) See Explanation

Step-by-step explanation:

Given

$P = 312$ ---- Professionals,

$M = 470$ ----- Married persons,

$C = 525$ ---- College graduates,

$PCG = 42$ ----- Professional college graduates,

$MCG = 147$ ----- Married college graduates,

$MP = 86$ ---- Married professionals,

$MPCG = 25$ ---- Married professional college graduates

$Total =1000$

Solving (a): P(M or P or C)

This is calculated as:

$P(M\ or\ P\ or\ C) = P(M) + P(P) + P(C)$

$P(M\ or\ P\ or\ C) = \frac{n(M) + n(P) + n(C)}{Total}$

$P(M\ or\ P\ or\ C) = \frac{470 + 525 + 312}{1000}$

$P(M\ or\ P\ or\ C) = \frac{1307}{1000}$

$P(M\ or\ P\ or\ C) = 1.307$

(b) In probabilities, the probability of an event or collection of events must not exceed 1 and must not go below 0.

In (a) above, the calculated probability exceeds 1.

Because of this single reason, the collected data is incorrect

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3 years ago